Properties

Label 370.2.o.a.181.3
Level $370$
Weight $2$
Character 370.181
Analytic conductor $2.954$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [370,2,Mod(71,370)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(370, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("370.71");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.o (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{18} - 3 x^{17} + 21 x^{16} - 20 x^{15} + 180 x^{14} - 126 x^{13} + 1002 x^{12} - 270 x^{11} + 3294 x^{10} - 1172 x^{9} + 6585 x^{8} - 1464 x^{7} + 8092 x^{6} - 2088 x^{5} + \cdots + 81 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 181.3
Root \(1.20734 + 2.09117i\) of defining polynomial
Character \(\chi\) \(=\) 370.181
Dual form 370.2.o.a.231.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.173648 - 0.984808i) q^{2} +(0.426173 + 2.41695i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.766044 - 0.642788i) q^{5} +2.45423 q^{6} +(-3.72980 + 3.12967i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.84094 + 1.03402i) q^{9} +O(q^{10})\) \(q+(0.173648 - 0.984808i) q^{2} +(0.426173 + 2.41695i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.766044 - 0.642788i) q^{5} +2.45423 q^{6} +(-3.72980 + 3.12967i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.84094 + 1.03402i) q^{9} +(-0.500000 - 0.866025i) q^{10} +(-0.856002 + 1.48264i) q^{11} +(0.426173 - 2.41695i) q^{12} +(5.20412 + 1.89414i) q^{13} +(2.43445 + 4.21660i) q^{14} +(1.88005 + 1.57755i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-6.01497 + 2.18927i) q^{17} +(0.524984 + 2.97733i) q^{18} +(-0.404202 - 2.29235i) q^{19} +(-0.939693 + 0.342020i) q^{20} +(-9.15381 - 7.68095i) q^{21} +(1.31147 + 1.10045i) q^{22} +(2.13527 + 3.69840i) q^{23} +(-2.30623 - 0.839397i) q^{24} +(0.173648 - 0.984808i) q^{25} +(2.76905 - 4.79614i) q^{26} +(-0.0285488 - 0.0494479i) q^{27} +(4.57528 - 1.66527i) q^{28} +(0.304151 - 0.526805i) q^{29} +(1.88005 - 1.57755i) q^{30} -0.470242 q^{31} +(0.766044 - 0.642788i) q^{32} +(-3.94827 - 1.43705i) q^{33} +(1.11152 + 6.30375i) q^{34} +(-0.845477 + 4.79494i) q^{35} +3.02326 q^{36} +(-0.963008 - 6.00605i) q^{37} -2.32771 q^{38} +(-2.36019 + 13.3853i) q^{39} +(0.173648 + 0.984808i) q^{40} +(8.81777 + 3.20941i) q^{41} +(-9.15381 + 7.68095i) q^{42} +4.62507 q^{43} +(1.31147 - 1.10045i) q^{44} +(-1.51163 + 2.61822i) q^{45} +(4.01300 - 1.46061i) q^{46} +(4.44560 + 7.70000i) q^{47} +(-1.22712 + 2.12543i) q^{48} +(2.90102 - 16.4525i) q^{49} +(-0.939693 - 0.342020i) q^{50} +(-7.85477 - 13.6049i) q^{51} +(-4.24244 - 3.55983i) q^{52} +(-7.58694 - 6.36619i) q^{53} +(-0.0536541 + 0.0195285i) q^{54} +(0.297286 + 1.68599i) q^{55} +(-0.845477 - 4.79494i) q^{56} +(5.36822 - 1.95387i) q^{57} +(-0.465986 - 0.391009i) q^{58} +(-2.73315 - 2.29338i) q^{59} +(-1.22712 - 2.12543i) q^{60} +(11.4106 + 4.15313i) q^{61} +(-0.0816566 + 0.463098i) q^{62} +(7.36000 - 12.7479i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(5.20412 - 1.89414i) q^{65} +(-2.10083 + 3.63874i) q^{66} +(9.53915 - 8.00430i) q^{67} +6.40100 q^{68} +(-8.02884 + 6.73700i) q^{69} +(4.57528 + 1.66527i) q^{70} +(-1.62659 - 9.22487i) q^{71} +(0.524984 - 2.97733i) q^{72} +8.42854 q^{73} +(-6.08203 - 0.0945612i) q^{74} +2.45423 q^{75} +(-0.404202 + 2.29235i) q^{76} +(-1.44746 - 8.20895i) q^{77} +(12.7721 + 4.64867i) q^{78} +(-7.88571 + 6.61689i) q^{79} +1.00000 q^{80} +(-6.84052 + 5.73988i) q^{81} +(4.69184 - 8.12651i) q^{82} +(-0.117480 + 0.0427591i) q^{83} +(5.97472 + 10.3485i) q^{84} +(-3.20050 + 5.54343i) q^{85} +(0.803136 - 4.55481i) q^{86} +(1.40288 + 0.510607i) q^{87} +(-0.856002 - 1.48264i) q^{88} +(-2.48909 - 2.08860i) q^{89} +(2.31596 + 1.94332i) q^{90} +(-25.3384 + 9.22242i) q^{91} +(-0.741572 - 4.20566i) q^{92} +(-0.200404 - 1.13655i) q^{93} +(8.35499 - 3.04097i) q^{94} +(-1.78313 - 1.49622i) q^{95} +(1.88005 + 1.57755i) q^{96} +(2.43778 + 4.22236i) q^{97} +(-15.6988 - 5.71389i) q^{98} +(0.898775 - 5.09721i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9} - 9 q^{10} + 3 q^{11} + 9 q^{13} - 6 q^{17} + 6 q^{18} + 9 q^{19} - 6 q^{21} + 21 q^{23} + 6 q^{26} + 12 q^{27} - 3 q^{28} + 6 q^{29} - 30 q^{31} - 45 q^{33} - 15 q^{34} + 6 q^{35} + 24 q^{36} + 6 q^{37} - 12 q^{38} + 24 q^{39} + 15 q^{41} - 6 q^{42} - 12 q^{43} - 12 q^{45} + 24 q^{47} + 3 q^{48} + 33 q^{49} - 42 q^{51} - 12 q^{53} + 27 q^{54} + 6 q^{56} + 51 q^{57} - 15 q^{58} - 15 q^{59} + 3 q^{60} + 72 q^{61} - 57 q^{62} - 30 q^{63} - 9 q^{64} + 9 q^{65} - 3 q^{66} + 18 q^{67} + 24 q^{69} - 3 q^{70} + 6 q^{72} - 66 q^{73} - 24 q^{74} - 6 q^{75} + 9 q^{76} - 66 q^{77} + 6 q^{78} - 12 q^{79} + 18 q^{80} + 66 q^{81} + 45 q^{82} + 9 q^{83} + 42 q^{84} + 12 q^{86} + 48 q^{87} + 3 q^{88} + 6 q^{90} - 78 q^{91} + 18 q^{92} + 24 q^{94} - 3 q^{97} - 48 q^{98} - 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 0.984808i 0.122788 0.696364i
\(3\) 0.426173 + 2.41695i 0.246051 + 1.39543i 0.818038 + 0.575163i \(0.195062\pi\)
−0.571987 + 0.820263i \(0.693827\pi\)
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) 0.766044 0.642788i 0.342585 0.287463i
\(6\) 2.45423 1.00194
\(7\) −3.72980 + 3.12967i −1.40973 + 1.18291i −0.453153 + 0.891433i \(0.649701\pi\)
−0.956579 + 0.291473i \(0.905855\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −2.84094 + 1.03402i −0.946980 + 0.344672i
\(10\) −0.500000 0.866025i −0.158114 0.273861i
\(11\) −0.856002 + 1.48264i −0.258094 + 0.447032i −0.965731 0.259544i \(-0.916428\pi\)
0.707637 + 0.706576i \(0.249761\pi\)
\(12\) 0.426173 2.41695i 0.123026 0.697713i
\(13\) 5.20412 + 1.89414i 1.44336 + 0.525341i 0.940729 0.339159i \(-0.110142\pi\)
0.502633 + 0.864500i \(0.332365\pi\)
\(14\) 2.43445 + 4.21660i 0.650635 + 1.12693i
\(15\) 1.88005 + 1.57755i 0.485427 + 0.407322i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) −6.01497 + 2.18927i −1.45884 + 0.530976i −0.945047 0.326935i \(-0.893984\pi\)
−0.513798 + 0.857911i \(0.671762\pi\)
\(18\) 0.524984 + 2.97733i 0.123740 + 0.701765i
\(19\) −0.404202 2.29235i −0.0927304 0.525900i −0.995419 0.0956062i \(-0.969521\pi\)
0.902689 0.430294i \(-0.141590\pi\)
\(20\) −0.939693 + 0.342020i −0.210122 + 0.0764780i
\(21\) −9.15381 7.68095i −1.99752 1.67612i
\(22\) 1.31147 + 1.10045i 0.279606 + 0.234618i
\(23\) 2.13527 + 3.69840i 0.445235 + 0.771169i 0.998069 0.0621224i \(-0.0197869\pi\)
−0.552834 + 0.833292i \(0.686454\pi\)
\(24\) −2.30623 0.839397i −0.470756 0.171341i
\(25\) 0.173648 0.984808i 0.0347296 0.196962i
\(26\) 2.76905 4.79614i 0.543056 0.940601i
\(27\) −0.0285488 0.0494479i −0.00549421 0.00951625i
\(28\) 4.57528 1.66527i 0.864646 0.314706i
\(29\) 0.304151 0.526805i 0.0564794 0.0978252i −0.836403 0.548114i \(-0.815346\pi\)
0.892883 + 0.450289i \(0.148679\pi\)
\(30\) 1.88005 1.57755i 0.343249 0.288020i
\(31\) −0.470242 −0.0844579 −0.0422290 0.999108i \(-0.513446\pi\)
−0.0422290 + 0.999108i \(0.513446\pi\)
\(32\) 0.766044 0.642788i 0.135419 0.113630i
\(33\) −3.94827 1.43705i −0.687305 0.250159i
\(34\) 1.11152 + 6.30375i 0.190624 + 1.08108i
\(35\) −0.845477 + 4.79494i −0.142912 + 0.810493i
\(36\) 3.02326 0.503877
\(37\) −0.963008 6.00605i −0.158318 0.987388i
\(38\) −2.32771 −0.377604
\(39\) −2.36019 + 13.3853i −0.377933 + 2.14337i
\(40\) 0.173648 + 0.984808i 0.0274562 + 0.155712i
\(41\) 8.81777 + 3.20941i 1.37711 + 0.501225i 0.921299 0.388854i \(-0.127129\pi\)
0.455806 + 0.890079i \(0.349351\pi\)
\(42\) −9.15381 + 7.68095i −1.41246 + 1.18520i
\(43\) 4.62507 0.705317 0.352659 0.935752i \(-0.385278\pi\)
0.352659 + 0.935752i \(0.385278\pi\)
\(44\) 1.31147 1.10045i 0.197712 0.165900i
\(45\) −1.51163 + 2.61822i −0.225341 + 0.390302i
\(46\) 4.01300 1.46061i 0.591684 0.215355i
\(47\) 4.44560 + 7.70000i 0.648457 + 1.12316i 0.983491 + 0.180955i \(0.0579188\pi\)
−0.335034 + 0.942206i \(0.608748\pi\)
\(48\) −1.22712 + 2.12543i −0.177119 + 0.306779i
\(49\) 2.90102 16.4525i 0.414431 2.35035i
\(50\) −0.939693 0.342020i −0.132893 0.0483690i
\(51\) −7.85477 13.6049i −1.09989 1.90506i
\(52\) −4.24244 3.55983i −0.588320 0.493659i
\(53\) −7.58694 6.36619i −1.04215 0.874464i −0.0498998 0.998754i \(-0.515890\pi\)
−0.992246 + 0.124290i \(0.960335\pi\)
\(54\) −0.0536541 + 0.0195285i −0.00730140 + 0.00265749i
\(55\) 0.297286 + 1.68599i 0.0400861 + 0.227339i
\(56\) −0.845477 4.79494i −0.112982 0.640751i
\(57\) 5.36822 1.95387i 0.711038 0.258797i
\(58\) −0.465986 0.391009i −0.0611870 0.0513420i
\(59\) −2.73315 2.29338i −0.355825 0.298573i 0.447299 0.894385i \(-0.352386\pi\)
−0.803124 + 0.595812i \(0.796830\pi\)
\(60\) −1.22712 2.12543i −0.158420 0.274392i
\(61\) 11.4106 + 4.15313i 1.46098 + 0.531754i 0.945635 0.325229i \(-0.105441\pi\)
0.515346 + 0.856982i \(0.327664\pi\)
\(62\) −0.0816566 + 0.463098i −0.0103704 + 0.0588135i
\(63\) 7.36000 12.7479i 0.927273 1.60608i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 5.20412 1.89414i 0.645491 0.234940i
\(66\) −2.10083 + 3.63874i −0.258594 + 0.447898i
\(67\) 9.53915 8.00430i 1.16539 0.977881i 0.165427 0.986222i \(-0.447100\pi\)
0.999965 + 0.00834145i \(0.00265520\pi\)
\(68\) 6.40100 0.776235
\(69\) −8.02884 + 6.73700i −0.966559 + 0.811039i
\(70\) 4.57528 + 1.66527i 0.546850 + 0.199037i
\(71\) −1.62659 9.22487i −0.193041 1.09479i −0.915181 0.403043i \(-0.867952\pi\)
0.722140 0.691747i \(-0.243159\pi\)
\(72\) 0.524984 2.97733i 0.0618700 0.350882i
\(73\) 8.42854 0.986486 0.493243 0.869892i \(-0.335811\pi\)
0.493243 + 0.869892i \(0.335811\pi\)
\(74\) −6.08203 0.0945612i −0.707021 0.0109925i
\(75\) 2.45423 0.283391
\(76\) −0.404202 + 2.29235i −0.0463652 + 0.262950i
\(77\) −1.44746 8.20895i −0.164953 0.935497i
\(78\) 12.7721 + 4.64867i 1.44616 + 0.526358i
\(79\) −7.88571 + 6.61689i −0.887211 + 0.744459i −0.967649 0.252301i \(-0.918813\pi\)
0.0804374 + 0.996760i \(0.474368\pi\)
\(80\) 1.00000 0.111803
\(81\) −6.84052 + 5.73988i −0.760058 + 0.637764i
\(82\) 4.69184 8.12651i 0.518127 0.897422i
\(83\) −0.117480 + 0.0427591i −0.0128951 + 0.00469342i −0.348460 0.937324i \(-0.613295\pi\)
0.335565 + 0.942017i \(0.391073\pi\)
\(84\) 5.97472 + 10.3485i 0.651896 + 1.12912i
\(85\) −3.20050 + 5.54343i −0.347143 + 0.601269i
\(86\) 0.803136 4.55481i 0.0866043 0.491158i
\(87\) 1.40288 + 0.510607i 0.150405 + 0.0547428i
\(88\) −0.856002 1.48264i −0.0912501 0.158050i
\(89\) −2.48909 2.08860i −0.263843 0.221391i 0.501263 0.865295i \(-0.332869\pi\)
−0.765106 + 0.643904i \(0.777313\pi\)
\(90\) 2.31596 + 1.94332i 0.244123 + 0.204844i
\(91\) −25.3384 + 9.22242i −2.65618 + 0.966772i
\(92\) −0.741572 4.20566i −0.0773142 0.438471i
\(93\) −0.200404 1.13655i −0.0207810 0.117855i
\(94\) 8.35499 3.04097i 0.861752 0.313652i
\(95\) −1.78313 1.49622i −0.182945 0.153509i
\(96\) 1.88005 + 1.57755i 0.191882 + 0.161008i
\(97\) 2.43778 + 4.22236i 0.247519 + 0.428715i 0.962837 0.270084i \(-0.0870514\pi\)
−0.715318 + 0.698799i \(0.753718\pi\)
\(98\) −15.6988 5.71389i −1.58582 0.577190i
\(99\) 0.898775 5.09721i 0.0903303 0.512289i
\(100\) −0.500000 + 0.866025i −0.0500000 + 0.0866025i
\(101\) −7.98345 13.8277i −0.794383 1.37591i −0.923230 0.384247i \(-0.874461\pi\)
0.128848 0.991664i \(-0.458872\pi\)
\(102\) −14.7621 + 5.37298i −1.46167 + 0.532005i
\(103\) −3.88600 + 6.73075i −0.382899 + 0.663201i −0.991475 0.130295i \(-0.958408\pi\)
0.608576 + 0.793496i \(0.291741\pi\)
\(104\) −4.24244 + 3.55983i −0.416005 + 0.349070i
\(105\) −11.9494 −1.16615
\(106\) −7.58694 + 6.36619i −0.736908 + 0.618339i
\(107\) 9.97392 + 3.63021i 0.964215 + 0.350946i 0.775684 0.631122i \(-0.217405\pi\)
0.188531 + 0.982067i \(0.439627\pi\)
\(108\) 0.00991488 + 0.0562301i 0.000954060 + 0.00541074i
\(109\) 0.130011 0.737328i 0.0124528 0.0706232i −0.977948 0.208848i \(-0.933029\pi\)
0.990401 + 0.138225i \(0.0441397\pi\)
\(110\) 1.71200 0.163233
\(111\) 14.1059 4.88716i 1.33887 0.463869i
\(112\) −4.86891 −0.460069
\(113\) −0.465913 + 2.64232i −0.0438294 + 0.248569i −0.998849 0.0479753i \(-0.984723\pi\)
0.955019 + 0.296544i \(0.0958342\pi\)
\(114\) −0.992007 5.62595i −0.0929100 0.526919i
\(115\) 4.01300 + 1.46061i 0.374214 + 0.136203i
\(116\) −0.465986 + 0.391009i −0.0432657 + 0.0363042i
\(117\) −16.7432 −1.54791
\(118\) −2.73315 + 2.29338i −0.251606 + 0.211123i
\(119\) 15.5829 26.9904i 1.42849 2.47421i
\(120\) −2.30623 + 0.839397i −0.210529 + 0.0766262i
\(121\) 4.03452 + 6.98800i 0.366775 + 0.635273i
\(122\) 6.07147 10.5161i 0.549685 0.952082i
\(123\) −3.99907 + 22.6799i −0.360584 + 2.04498i
\(124\) 0.441883 + 0.160832i 0.0396822 + 0.0144432i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) −11.2762 9.46184i −1.00456 0.842927i
\(127\) −8.02245 6.73164i −0.711877 0.597336i 0.213248 0.976998i \(-0.431596\pi\)
−0.925125 + 0.379662i \(0.876040\pi\)
\(128\) −0.939693 + 0.342020i −0.0830579 + 0.0302306i
\(129\) 1.97108 + 11.1786i 0.173544 + 0.984218i
\(130\) −0.961682 5.45397i −0.0843451 0.478345i
\(131\) −11.8142 + 4.30001i −1.03221 + 0.375694i −0.801922 0.597428i \(-0.796189\pi\)
−0.230288 + 0.973122i \(0.573967\pi\)
\(132\) 3.21866 + 2.70077i 0.280148 + 0.235072i
\(133\) 8.68189 + 7.28497i 0.752815 + 0.631687i
\(134\) −6.22624 10.7842i −0.537865 0.931610i
\(135\) −0.0536541 0.0195285i −0.00461781 0.00168075i
\(136\) 1.11152 6.30375i 0.0953122 0.540542i
\(137\) 0.328057 0.568211i 0.0280278 0.0485455i −0.851671 0.524076i \(-0.824411\pi\)
0.879699 + 0.475531i \(0.157744\pi\)
\(138\) 5.24045 + 9.07673i 0.446097 + 0.772663i
\(139\) 15.6294 5.68864i 1.32567 0.482504i 0.420399 0.907340i \(-0.361890\pi\)
0.905271 + 0.424835i \(0.139668\pi\)
\(140\) 2.43445 4.21660i 0.205749 0.356368i
\(141\) −16.7159 + 14.0263i −1.40773 + 1.18123i
\(142\) −9.36718 −0.786076
\(143\) −7.26306 + 6.09443i −0.607368 + 0.509642i
\(144\) −2.84094 1.03402i −0.236745 0.0861681i
\(145\) −0.105630 0.599060i −0.00877213 0.0497492i
\(146\) 1.46360 8.30049i 0.121128 0.686954i
\(147\) 41.0011 3.38172
\(148\) −1.14926 + 5.97321i −0.0944684 + 0.490995i
\(149\) −5.96317 −0.488522 −0.244261 0.969710i \(-0.578545\pi\)
−0.244261 + 0.969710i \(0.578545\pi\)
\(150\) 0.426173 2.41695i 0.0347969 0.197343i
\(151\) 2.95063 + 16.7338i 0.240119 + 1.36178i 0.831561 + 0.555434i \(0.187448\pi\)
−0.591442 + 0.806348i \(0.701441\pi\)
\(152\) 2.18733 + 0.796123i 0.177416 + 0.0645741i
\(153\) 14.8244 12.4392i 1.19848 1.00565i
\(154\) −8.33559 −0.671701
\(155\) −0.360226 + 0.302266i −0.0289341 + 0.0242786i
\(156\) 6.79590 11.7709i 0.544108 0.942422i
\(157\) 5.05836 1.84109i 0.403701 0.146935i −0.132186 0.991225i \(-0.542200\pi\)
0.535887 + 0.844290i \(0.319977\pi\)
\(158\) 5.14703 + 8.91492i 0.409476 + 0.709233i
\(159\) 12.1534 21.0503i 0.963829 1.66940i
\(160\) 0.173648 0.984808i 0.0137281 0.0778559i
\(161\) −19.5389 7.11158i −1.53988 0.560471i
\(162\) 4.46483 + 7.73332i 0.350790 + 0.607587i
\(163\) 8.43555 + 7.07826i 0.660723 + 0.554412i 0.910303 0.413942i \(-0.135848\pi\)
−0.249580 + 0.968354i \(0.580293\pi\)
\(164\) −7.18832 6.03171i −0.561313 0.470998i
\(165\) −3.94827 + 1.43705i −0.307372 + 0.111874i
\(166\) 0.0217094 + 0.123120i 0.00168497 + 0.00955596i
\(167\) 0.377107 + 2.13868i 0.0291814 + 0.165496i 0.995916 0.0902861i \(-0.0287782\pi\)
−0.966734 + 0.255782i \(0.917667\pi\)
\(168\) 11.2288 4.08695i 0.866321 0.315315i
\(169\) 13.5365 + 11.3585i 1.04127 + 0.873727i
\(170\) 4.90345 + 4.11448i 0.376077 + 0.315566i
\(171\) 3.51864 + 6.09446i 0.269077 + 0.466055i
\(172\) −4.34615 1.58187i −0.331391 0.120616i
\(173\) −0.275368 + 1.56169i −0.0209358 + 0.118733i −0.993485 0.113966i \(-0.963645\pi\)
0.972549 + 0.232699i \(0.0747556\pi\)
\(174\) 0.746457 1.29290i 0.0565888 0.0980146i
\(175\) 2.43445 + 4.21660i 0.184027 + 0.318745i
\(176\) −1.60876 + 0.585540i −0.121265 + 0.0441367i
\(177\) 4.37819 7.58325i 0.329085 0.569992i
\(178\) −2.48909 + 2.08860i −0.186565 + 0.156547i
\(179\) 9.81806 0.733836 0.366918 0.930253i \(-0.380413\pi\)
0.366918 + 0.930253i \(0.380413\pi\)
\(180\) 2.31596 1.94332i 0.172621 0.144846i
\(181\) 13.4175 + 4.88359i 0.997318 + 0.362994i 0.788550 0.614971i \(-0.210832\pi\)
0.208768 + 0.977965i \(0.433055\pi\)
\(182\) 4.68234 + 26.5549i 0.347078 + 1.96838i
\(183\) −5.17499 + 29.3489i −0.382547 + 2.16953i
\(184\) −4.27054 −0.314828
\(185\) −4.59832 3.98189i −0.338075 0.292754i
\(186\) −1.15408 −0.0846215
\(187\) 1.90293 10.7920i 0.139156 0.789193i
\(188\) −1.54394 8.75612i −0.112603 0.638606i
\(189\) 0.261237 + 0.0950825i 0.0190022 + 0.00691623i
\(190\) −1.78313 + 1.49622i −0.129362 + 0.108547i
\(191\) −3.92648 −0.284110 −0.142055 0.989859i \(-0.545371\pi\)
−0.142055 + 0.989859i \(0.545371\pi\)
\(192\) 1.88005 1.57755i 0.135681 0.113850i
\(193\) −1.38873 + 2.40536i −0.0999632 + 0.173141i −0.911669 0.410925i \(-0.865206\pi\)
0.811706 + 0.584066i \(0.198539\pi\)
\(194\) 4.58153 1.66754i 0.328934 0.119722i
\(195\) 6.79590 + 11.7709i 0.486665 + 0.842928i
\(196\) −8.35314 + 14.4681i −0.596653 + 1.03343i
\(197\) −2.47328 + 14.0267i −0.176214 + 0.999361i 0.760519 + 0.649316i \(0.224945\pi\)
−0.936733 + 0.350045i \(0.886166\pi\)
\(198\) −4.86370 1.77024i −0.345648 0.125806i
\(199\) −7.32946 12.6950i −0.519572 0.899925i −0.999741 0.0227492i \(-0.992758\pi\)
0.480169 0.877176i \(-0.340575\pi\)
\(200\) 0.766044 + 0.642788i 0.0541675 + 0.0454519i
\(201\) 23.4113 + 19.6444i 1.65131 + 1.38561i
\(202\) −15.0040 + 5.46100i −1.05568 + 0.384235i
\(203\) 0.514305 + 2.91677i 0.0360971 + 0.204717i
\(204\) 2.72793 + 15.4709i 0.190994 + 1.08318i
\(205\) 8.81777 3.20941i 0.615860 0.224155i
\(206\) 5.95370 + 4.99575i 0.414814 + 0.348070i
\(207\) −9.89038 8.29902i −0.687429 0.576821i
\(208\) 2.76905 + 4.79614i 0.191999 + 0.332553i
\(209\) 3.74472 + 1.36297i 0.259027 + 0.0942783i
\(210\) −2.07500 + 11.7679i −0.143189 + 0.812063i
\(211\) −1.02181 + 1.76982i −0.0703442 + 0.121840i −0.899052 0.437842i \(-0.855743\pi\)
0.828708 + 0.559681i \(0.189076\pi\)
\(212\) 4.95202 + 8.57715i 0.340106 + 0.589081i
\(213\) 21.6028 7.86279i 1.48020 0.538749i
\(214\) 5.30701 9.19201i 0.362780 0.628353i
\(215\) 3.54301 2.97294i 0.241631 0.202753i
\(216\) 0.0570975 0.00388499
\(217\) 1.75391 1.47170i 0.119063 0.0999058i
\(218\) −0.703550 0.256071i −0.0476505 0.0173433i
\(219\) 3.59202 + 20.3714i 0.242726 + 1.37657i
\(220\) 0.297286 1.68599i 0.0200430 0.113670i
\(221\) −35.4494 −2.38459
\(222\) −2.36345 14.7402i −0.158624 0.989301i
\(223\) −8.90249 −0.596155 −0.298077 0.954542i \(-0.596345\pi\)
−0.298077 + 0.954542i \(0.596345\pi\)
\(224\) −0.845477 + 4.79494i −0.0564908 + 0.320375i
\(225\) 0.524984 + 2.97733i 0.0349990 + 0.198489i
\(226\) 2.52128 + 0.917670i 0.167713 + 0.0610425i
\(227\) 1.35138 1.13395i 0.0896945 0.0752626i −0.596838 0.802362i \(-0.703576\pi\)
0.686532 + 0.727099i \(0.259132\pi\)
\(228\) −5.71274 −0.378336
\(229\) −16.6606 + 13.9799i −1.10096 + 0.923818i −0.997490 0.0708145i \(-0.977440\pi\)
−0.103474 + 0.994632i \(0.532996\pi\)
\(230\) 2.13527 3.69840i 0.140796 0.243865i
\(231\) 19.2237 6.99687i 1.26483 0.460360i
\(232\) 0.304151 + 0.526805i 0.0199685 + 0.0345864i
\(233\) 6.10307 10.5708i 0.399825 0.692517i −0.593879 0.804554i \(-0.702404\pi\)
0.993704 + 0.112037i \(0.0357375\pi\)
\(234\) −2.90742 + 16.4888i −0.190064 + 1.07791i
\(235\) 8.35499 + 3.04097i 0.545020 + 0.198371i
\(236\) 1.78393 + 3.08986i 0.116124 + 0.201133i
\(237\) −19.3534 16.2394i −1.25714 1.05486i
\(238\) −23.8745 20.0330i −1.54755 1.29855i
\(239\) −7.53332 + 2.74190i −0.487290 + 0.177359i −0.573969 0.818877i \(-0.694597\pi\)
0.0866788 + 0.996236i \(0.472375\pi\)
\(240\) 0.426173 + 2.41695i 0.0275094 + 0.156013i
\(241\) −2.42969 13.7795i −0.156510 0.887614i −0.957392 0.288791i \(-0.906747\pi\)
0.800882 0.598822i \(-0.204365\pi\)
\(242\) 7.58242 2.75978i 0.487417 0.177405i
\(243\) −16.9195 14.1971i −1.08538 0.910745i
\(244\) −9.30203 7.80533i −0.595501 0.499685i
\(245\) −8.35314 14.4681i −0.533663 0.924331i
\(246\) 21.6409 + 7.87664i 1.37977 + 0.502196i
\(247\) 2.23852 12.6953i 0.142433 0.807779i
\(248\) 0.235121 0.407241i 0.0149302 0.0258599i
\(249\) −0.153413 0.265720i −0.00972217 0.0168393i
\(250\) −0.939693 + 0.342020i −0.0594314 + 0.0216313i
\(251\) 7.42686 12.8637i 0.468780 0.811950i −0.530584 0.847633i \(-0.678027\pi\)
0.999363 + 0.0356826i \(0.0113605\pi\)
\(252\) −11.2762 + 9.46184i −0.710332 + 0.596040i
\(253\) −7.31118 −0.459650
\(254\) −8.02245 + 6.73164i −0.503373 + 0.422380i
\(255\) −14.7621 5.37298i −0.924442 0.336469i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) −0.946093 + 5.36556i −0.0590156 + 0.334694i −0.999993 0.00377553i \(-0.998798\pi\)
0.940977 + 0.338470i \(0.109909\pi\)
\(258\) 11.3510 0.706683
\(259\) 22.3888 + 19.3875i 1.39117 + 1.20468i
\(260\) −5.53811 −0.343459
\(261\) −0.319349 + 1.81112i −0.0197672 + 0.112105i
\(262\) 2.18317 + 12.3814i 0.134877 + 0.764925i
\(263\) −26.0585 9.48451i −1.60683 0.584840i −0.626023 0.779804i \(-0.715319\pi\)
−0.980810 + 0.194965i \(0.937541\pi\)
\(264\) 3.21866 2.70077i 0.198095 0.166221i
\(265\) −9.90404 −0.608400
\(266\) 8.68189 7.28497i 0.532321 0.446670i
\(267\) 3.98724 6.90611i 0.244015 0.422647i
\(268\) −11.7015 + 4.25900i −0.714783 + 0.260160i
\(269\) 9.09346 + 15.7503i 0.554438 + 0.960315i 0.997947 + 0.0640448i \(0.0204001\pi\)
−0.443509 + 0.896270i \(0.646267\pi\)
\(270\) −0.0285488 + 0.0494479i −0.00173742 + 0.00300930i
\(271\) 4.09801 23.2410i 0.248936 1.41179i −0.562234 0.826978i \(-0.690058\pi\)
0.811170 0.584810i \(-0.198831\pi\)
\(272\) −6.01497 2.18927i −0.364711 0.132744i
\(273\) −33.0886 57.3112i −2.00262 3.46863i
\(274\) −0.502612 0.421742i −0.0303639 0.0254783i
\(275\) 1.31147 + 1.10045i 0.0790846 + 0.0663599i
\(276\) 9.84883 3.58468i 0.592830 0.215772i
\(277\) 4.34369 + 24.6343i 0.260987 + 1.48013i 0.780223 + 0.625501i \(0.215105\pi\)
−0.519236 + 0.854631i \(0.673783\pi\)
\(278\) −2.88820 16.3798i −0.173223 0.982394i
\(279\) 1.33593 0.486238i 0.0799800 0.0291103i
\(280\) −3.72980 3.12967i −0.222898 0.187034i
\(281\) 14.4106 + 12.0919i 0.859662 + 0.721342i 0.961895 0.273418i \(-0.0881542\pi\)
−0.102233 + 0.994760i \(0.532599\pi\)
\(282\) 10.9105 + 18.8976i 0.649713 + 1.12534i
\(283\) 12.0670 + 4.39202i 0.717308 + 0.261079i 0.674782 0.738017i \(-0.264237\pi\)
0.0425253 + 0.999095i \(0.486460\pi\)
\(284\) −1.62659 + 9.22487i −0.0965206 + 0.547395i
\(285\) 2.85637 4.94738i 0.169197 0.293057i
\(286\) 4.74063 + 8.21101i 0.280319 + 0.485527i
\(287\) −42.9330 + 15.6263i −2.53425 + 0.922392i
\(288\) −1.51163 + 2.61822i −0.0890738 + 0.154280i
\(289\) 18.3642 15.4094i 1.08025 0.906436i
\(290\) −0.608302 −0.0357207
\(291\) −9.16631 + 7.69144i −0.537338 + 0.450880i
\(292\) −7.92024 2.88273i −0.463497 0.168699i
\(293\) 4.06027 + 23.0269i 0.237204 + 1.34525i 0.837923 + 0.545788i \(0.183770\pi\)
−0.600719 + 0.799460i \(0.705119\pi\)
\(294\) 7.11977 40.3782i 0.415233 2.35491i
\(295\) −3.56787 −0.207729
\(296\) 5.68289 + 2.16903i 0.330312 + 0.126073i
\(297\) 0.0977511 0.00567210
\(298\) −1.03549 + 5.87257i −0.0599845 + 0.340189i
\(299\) 4.10690 + 23.2914i 0.237508 + 1.34698i
\(300\) −2.30623 0.839397i −0.133150 0.0484626i
\(301\) −17.2506 + 14.4750i −0.994308 + 0.834324i
\(302\) 16.9920 0.977779
\(303\) 30.0186 25.1886i 1.72452 1.44705i
\(304\) 1.16385 2.01585i 0.0667516 0.115617i
\(305\) 11.4106 4.15313i 0.653371 0.237807i
\(306\) −9.67596 16.7592i −0.553138 0.958063i
\(307\) 4.28809 7.42720i 0.244734 0.423892i −0.717322 0.696741i \(-0.754633\pi\)
0.962057 + 0.272849i \(0.0879659\pi\)
\(308\) −1.44746 + 8.20895i −0.0824767 + 0.467748i
\(309\) −17.9240 6.52380i −1.01966 0.371126i
\(310\) 0.235121 + 0.407241i 0.0133540 + 0.0231298i
\(311\) 2.24764 + 1.88600i 0.127452 + 0.106945i 0.704286 0.709917i \(-0.251267\pi\)
−0.576834 + 0.816862i \(0.695712\pi\)
\(312\) −10.4119 8.73665i −0.589459 0.494615i
\(313\) −27.0980 + 9.86287i −1.53167 + 0.557482i −0.964030 0.265794i \(-0.914366\pi\)
−0.567641 + 0.823277i \(0.692144\pi\)
\(314\) −0.934748 5.30122i −0.0527509 0.299165i
\(315\) −2.55610 14.4964i −0.144020 0.816778i
\(316\) 9.67325 3.52078i 0.544163 0.198059i
\(317\) −24.1310 20.2483i −1.35533 1.13726i −0.977393 0.211431i \(-0.932188\pi\)
−0.377941 0.925830i \(-0.623368\pi\)
\(318\) −18.6201 15.6241i −1.04416 0.876158i
\(319\) 0.520707 + 0.901891i 0.0291540 + 0.0504962i
\(320\) −0.939693 0.342020i −0.0525304 0.0191195i
\(321\) −4.52341 + 25.6536i −0.252472 + 1.43184i
\(322\) −10.3964 + 18.0072i −0.579371 + 1.00350i
\(323\) 7.44983 + 12.9035i 0.414520 + 0.717969i
\(324\) 8.39114 3.05412i 0.466174 0.169674i
\(325\) 2.76905 4.79614i 0.153599 0.266042i
\(326\) 8.43555 7.07826i 0.467202 0.392029i
\(327\) 1.83749 0.101614
\(328\) −7.18832 + 6.03171i −0.396908 + 0.333046i
\(329\) −40.6797 14.8062i −2.24274 0.816292i
\(330\) 0.729610 + 4.13782i 0.0401637 + 0.227780i
\(331\) 1.41918 8.04856i 0.0780051 0.442389i −0.920643 0.390406i \(-0.872335\pi\)
0.998648 0.0519831i \(-0.0165542\pi\)
\(332\) 0.125019 0.00686132
\(333\) 8.94621 + 16.0671i 0.490249 + 0.880469i
\(334\) 2.17167 0.118829
\(335\) 2.16235 12.2633i 0.118142 0.670015i
\(336\) −2.07500 11.7679i −0.113200 0.641992i
\(337\) −18.8898 6.87532i −1.02899 0.374523i −0.228296 0.973592i \(-0.573315\pi\)
−0.800697 + 0.599069i \(0.795537\pi\)
\(338\) 13.5365 11.3585i 0.736287 0.617818i
\(339\) −6.58492 −0.357644
\(340\) 4.90345 4.11448i 0.265927 0.223139i
\(341\) 0.402528 0.697199i 0.0217981 0.0377554i
\(342\) 6.61288 2.40689i 0.357584 0.130150i
\(343\) 23.6295 + 40.9275i 1.27587 + 2.20988i
\(344\) −2.31254 + 4.00543i −0.124684 + 0.215958i
\(345\) −1.81999 + 10.3217i −0.0979850 + 0.555701i
\(346\) 1.49014 + 0.542368i 0.0801107 + 0.0291579i
\(347\) 6.84271 + 11.8519i 0.367336 + 0.636245i 0.989148 0.146922i \(-0.0469366\pi\)
−0.621812 + 0.783166i \(0.713603\pi\)
\(348\) −1.14364 0.959627i −0.0613055 0.0514414i
\(349\) 17.6230 + 14.7874i 0.943336 + 0.791553i 0.978163 0.207840i \(-0.0666434\pi\)
−0.0348265 + 0.999393i \(0.511088\pi\)
\(350\) 4.57528 1.66527i 0.244559 0.0890122i
\(351\) −0.0549097 0.311408i −0.00293086 0.0166217i
\(352\) 0.297286 + 1.68599i 0.0158454 + 0.0898638i
\(353\) 30.2457 11.0085i 1.60982 0.585926i 0.628414 0.777879i \(-0.283704\pi\)
0.981404 + 0.191953i \(0.0614821\pi\)
\(354\) −6.70778 5.62850i −0.356514 0.299151i
\(355\) −7.17568 6.02111i −0.380845 0.319567i
\(356\) 1.62464 + 2.81396i 0.0861057 + 0.149139i
\(357\) 71.8756 + 26.1606i 3.80406 + 1.38456i
\(358\) 1.70489 9.66890i 0.0901061 0.511017i
\(359\) 5.28107 9.14708i 0.278724 0.482764i −0.692344 0.721568i \(-0.743422\pi\)
0.971068 + 0.238803i \(0.0767552\pi\)
\(360\) −1.51163 2.61822i −0.0796700 0.137993i
\(361\) 12.7627 4.64524i 0.671721 0.244486i
\(362\) 7.13933 12.3657i 0.375235 0.649925i
\(363\) −15.1702 + 12.7293i −0.796230 + 0.668117i
\(364\) 26.9645 1.41333
\(365\) 6.45664 5.41776i 0.337956 0.283579i
\(366\) 28.0044 + 10.1928i 1.46381 + 0.532784i
\(367\) −4.76920 27.0475i −0.248950 1.41187i −0.811136 0.584857i \(-0.801151\pi\)
0.562186 0.827011i \(-0.309961\pi\)
\(368\) −0.741572 + 4.20566i −0.0386571 + 0.219235i
\(369\) −28.3694 −1.47685
\(370\) −4.71989 + 3.83701i −0.245375 + 0.199477i
\(371\) 48.2219 2.50356
\(372\) −0.200404 + 1.13655i −0.0103905 + 0.0589274i
\(373\) −3.86091 21.8963i −0.199910 1.13375i −0.905251 0.424878i \(-0.860317\pi\)
0.705340 0.708869i \(-0.250794\pi\)
\(374\) −10.2976 3.74804i −0.532479 0.193806i
\(375\) 1.88005 1.57755i 0.0970855 0.0814644i
\(376\) −8.89120 −0.458528
\(377\) 2.58068 2.16545i 0.132912 0.111526i
\(378\) 0.139001 0.240757i 0.00714946 0.0123832i
\(379\) 3.73414 1.35911i 0.191810 0.0698130i −0.244329 0.969692i \(-0.578568\pi\)
0.436139 + 0.899879i \(0.356346\pi\)
\(380\) 1.16385 + 2.01585i 0.0597045 + 0.103411i
\(381\) 12.8511 22.2587i 0.658380 1.14035i
\(382\) −0.681826 + 3.86683i −0.0348853 + 0.197844i
\(383\) −30.1448 10.9718i −1.54033 0.560634i −0.574205 0.818711i \(-0.694689\pi\)
−0.966124 + 0.258077i \(0.916911\pi\)
\(384\) −1.22712 2.12543i −0.0626211 0.108463i
\(385\) −6.38543 5.35801i −0.325432 0.273070i
\(386\) 2.12766 + 1.78532i 0.108295 + 0.0908705i
\(387\) −13.1396 + 4.78241i −0.667921 + 0.243103i
\(388\) −0.846632 4.80149i −0.0429812 0.243759i
\(389\) −3.15468 17.8911i −0.159949 0.907114i −0.954121 0.299421i \(-0.903206\pi\)
0.794172 0.607692i \(-0.207905\pi\)
\(390\) 12.7721 4.64867i 0.646742 0.235395i
\(391\) −20.9404 17.5711i −1.05900 0.888607i
\(392\) 12.7978 + 10.7386i 0.646384 + 0.542381i
\(393\) −15.4278 26.7217i −0.778230 1.34793i
\(394\) 13.3841 + 4.87142i 0.674282 + 0.245419i
\(395\) −1.78754 + 10.1377i −0.0899411 + 0.510082i
\(396\) −2.58792 + 4.48241i −0.130048 + 0.225249i
\(397\) −11.7286 20.3144i −0.588639 1.01955i −0.994411 0.105578i \(-0.966331\pi\)
0.405772 0.913974i \(-0.367003\pi\)
\(398\) −13.7749 + 5.01365i −0.690473 + 0.251312i
\(399\) −13.9074 + 24.0883i −0.696241 + 1.20593i
\(400\) 0.766044 0.642788i 0.0383022 0.0321394i
\(401\) 2.75599 0.137628 0.0688138 0.997630i \(-0.478079\pi\)
0.0688138 + 0.997630i \(0.478079\pi\)
\(402\) 23.4113 19.6444i 1.16765 0.979775i
\(403\) −2.44719 0.890706i −0.121903 0.0443692i
\(404\) 2.77262 + 15.7243i 0.137943 + 0.782314i
\(405\) −1.55062 + 8.79400i −0.0770509 + 0.436977i
\(406\) 2.96177 0.146990
\(407\) 9.72913 + 3.71339i 0.482255 + 0.184066i
\(408\) 15.7095 0.777739
\(409\) 5.16857 29.3124i 0.255569 1.44941i −0.539038 0.842282i \(-0.681212\pi\)
0.794607 0.607124i \(-0.207677\pi\)
\(410\) −1.62946 9.24112i −0.0804732 0.456386i
\(411\) 1.51315 + 0.550740i 0.0746380 + 0.0271660i
\(412\) 5.95370 4.99575i 0.293318 0.246123i
\(413\) 17.3716 0.854802
\(414\) −9.89038 + 8.29902i −0.486086 + 0.407874i
\(415\) −0.0625096 + 0.108270i −0.00306848 + 0.00531476i
\(416\) 5.20412 1.89414i 0.255153 0.0928680i
\(417\) 20.4100 + 35.3511i 0.999481 + 1.73115i
\(418\) 1.99252 3.45115i 0.0974574 0.168801i
\(419\) 3.74592 21.2441i 0.183000 1.03784i −0.745498 0.666508i \(-0.767788\pi\)
0.928498 0.371337i \(-0.121101\pi\)
\(420\) 11.2288 + 4.08695i 0.547910 + 0.199423i
\(421\) 9.95781 + 17.2474i 0.485314 + 0.840589i 0.999858 0.0168756i \(-0.00537193\pi\)
−0.514543 + 0.857464i \(0.672039\pi\)
\(422\) 1.56550 + 1.31361i 0.0762074 + 0.0639456i
\(423\) −20.5916 17.2784i −1.00120 0.840105i
\(424\) 9.30675 3.38738i 0.451976 0.164506i
\(425\) 1.11152 + 6.30375i 0.0539167 + 0.305777i
\(426\) −3.99204 22.6400i −0.193415 1.09691i
\(427\) −55.5573 + 20.2212i −2.68861 + 0.978573i
\(428\) −8.13081 6.82256i −0.393018 0.329781i
\(429\) −17.8253 14.9572i −0.860611 0.722139i
\(430\) −2.31254 4.00543i −0.111520 0.193159i
\(431\) 6.14543 + 2.23675i 0.296015 + 0.107741i 0.485759 0.874093i \(-0.338543\pi\)
−0.189744 + 0.981834i \(0.560766\pi\)
\(432\) 0.00991488 0.0562301i 0.000477030 0.00270537i
\(433\) 11.9591 20.7138i 0.574719 0.995443i −0.421353 0.906897i \(-0.638445\pi\)
0.996072 0.0885459i \(-0.0282220\pi\)
\(434\) −1.14478 1.98282i −0.0549513 0.0951785i
\(435\) 1.40288 0.510607i 0.0672630 0.0244817i
\(436\) −0.374351 + 0.648396i −0.0179282 + 0.0310525i
\(437\) 7.61492 6.38968i 0.364271 0.305660i
\(438\) 20.6856 0.988397
\(439\) −4.13292 + 3.46793i −0.197253 + 0.165515i −0.736065 0.676911i \(-0.763318\pi\)
0.538811 + 0.842427i \(0.318874\pi\)
\(440\) −1.60876 0.585540i −0.0766945 0.0279145i
\(441\) 8.77054 + 49.7402i 0.417645 + 2.36858i
\(442\) −6.15573 + 34.9109i −0.292798 + 1.66054i
\(443\) −34.5180 −1.64000 −0.820000 0.572364i \(-0.806027\pi\)
−0.820000 + 0.572364i \(0.806027\pi\)
\(444\) −14.9267 0.232075i −0.708391 0.0110138i
\(445\) −3.24928 −0.154031
\(446\) −1.54590 + 8.76724i −0.0732005 + 0.415141i
\(447\) −2.54134 14.4127i −0.120201 0.681696i
\(448\) 4.57528 + 1.66527i 0.216162 + 0.0786764i
\(449\) 16.3262 13.6993i 0.770479 0.646509i −0.170352 0.985383i \(-0.554491\pi\)
0.940832 + 0.338874i \(0.110046\pi\)
\(450\) 3.02326 0.142518
\(451\) −12.3064 + 10.3263i −0.579487 + 0.486247i
\(452\) 1.34154 2.32362i 0.0631009 0.109294i
\(453\) −39.1874 + 14.2630i −1.84118 + 0.670136i
\(454\) −0.882053 1.52776i −0.0413968 0.0717014i
\(455\) −13.4823 + 23.3520i −0.632059 + 1.09476i
\(456\) −0.992007 + 5.62595i −0.0464550 + 0.263459i
\(457\) 26.8685 + 9.77935i 1.25686 + 0.457459i 0.882713 0.469912i \(-0.155714\pi\)
0.374144 + 0.927371i \(0.377936\pi\)
\(458\) 10.8744 + 18.8351i 0.508129 + 0.880105i
\(459\) 0.279975 + 0.234927i 0.0130681 + 0.0109654i
\(460\) −3.27142 2.74505i −0.152531 0.127989i
\(461\) 24.8260 9.03594i 1.15626 0.420846i 0.308503 0.951223i \(-0.400172\pi\)
0.847761 + 0.530378i \(0.177950\pi\)
\(462\) −3.55241 20.1467i −0.165273 0.937309i
\(463\) −3.94672 22.3830i −0.183420 1.04022i −0.927969 0.372657i \(-0.878447\pi\)
0.744549 0.667567i \(-0.232664\pi\)
\(464\) 0.571617 0.208051i 0.0265366 0.00965854i
\(465\) −0.884079 0.741831i −0.0409982 0.0344016i
\(466\) −9.35044 7.84595i −0.433151 0.363457i
\(467\) −16.1053 27.8952i −0.745265 1.29084i −0.950071 0.312034i \(-0.898990\pi\)
0.204806 0.978803i \(-0.434344\pi\)
\(468\) 15.7334 + 5.72650i 0.727278 + 0.264707i
\(469\) −10.5283 + 59.7089i −0.486151 + 2.75710i
\(470\) 4.44560 7.70000i 0.205060 0.355175i
\(471\) 6.60557 + 11.4412i 0.304368 + 0.527182i
\(472\) 3.35270 1.22028i 0.154321 0.0561681i
\(473\) −3.95907 + 6.85731i −0.182038 + 0.315299i
\(474\) −19.3534 + 16.2394i −0.888930 + 0.745901i
\(475\) −2.32771 −0.106803
\(476\) −23.8745 + 20.0330i −1.09428 + 0.918213i
\(477\) 28.1368 + 10.2410i 1.28829 + 0.468901i
\(478\) 1.39210 + 7.89500i 0.0636732 + 0.361109i
\(479\) 3.21904 18.2561i 0.147081 0.834140i −0.818591 0.574377i \(-0.805244\pi\)
0.965672 0.259763i \(-0.0836446\pi\)
\(480\) 2.45423 0.112020
\(481\) 6.36471 33.0803i 0.290206 1.50833i
\(482\) −13.9920 −0.637320
\(483\) 8.86137 50.2553i 0.403206 2.28670i
\(484\) −1.40117 7.94646i −0.0636898 0.361203i
\(485\) 4.58153 + 1.66754i 0.208036 + 0.0757191i
\(486\) −16.9195 + 14.1971i −0.767482 + 0.643994i
\(487\) −2.60642 −0.118108 −0.0590540 0.998255i \(-0.518808\pi\)
−0.0590540 + 0.998255i \(0.518808\pi\)
\(488\) −9.30203 + 7.80533i −0.421083 + 0.353331i
\(489\) −13.5128 + 23.4049i −0.611070 + 1.05840i
\(490\) −15.6988 + 5.71389i −0.709198 + 0.258127i
\(491\) −1.41689 2.45413i −0.0639434 0.110753i 0.832281 0.554353i \(-0.187034\pi\)
−0.896225 + 0.443600i \(0.853701\pi\)
\(492\) 11.5149 19.9443i 0.519131 0.899161i
\(493\) −0.676140 + 3.83458i −0.0304518 + 0.172701i
\(494\) −12.1137 4.40901i −0.545020 0.198371i
\(495\) −2.58792 4.48241i −0.116318 0.201469i
\(496\) −0.360226 0.302266i −0.0161746 0.0135721i
\(497\) 34.9377 + 29.3162i 1.56717 + 1.31501i
\(498\) −0.288323 + 0.104941i −0.0129200 + 0.00470251i
\(499\) −2.13993 12.1362i −0.0957965 0.543289i −0.994500 0.104733i \(-0.966601\pi\)
0.898704 0.438556i \(-0.144510\pi\)
\(500\) 0.173648 + 0.984808i 0.00776578 + 0.0440419i
\(501\) −5.00837 + 1.82290i −0.223757 + 0.0814410i
\(502\) −11.3786 9.54779i −0.507853 0.426139i
\(503\) −6.40303 5.37278i −0.285497 0.239560i 0.488780 0.872407i \(-0.337442\pi\)
−0.774277 + 0.632847i \(0.781886\pi\)
\(504\) 7.36000 + 12.7479i 0.327841 + 0.567836i
\(505\) −15.0040 5.46100i −0.667668 0.243011i
\(506\) −1.26957 + 7.20011i −0.0564394 + 0.320084i
\(507\) −21.6839 + 37.5576i −0.963016 + 1.66799i
\(508\) 5.23628 + 9.06951i 0.232323 + 0.402394i
\(509\) −7.12216 + 2.59226i −0.315684 + 0.114900i −0.495003 0.868891i \(-0.664833\pi\)
0.179318 + 0.983791i \(0.442611\pi\)
\(510\) −7.85477 + 13.6049i −0.347815 + 0.602434i
\(511\) −31.4368 + 26.3786i −1.39068 + 1.16692i
\(512\) 1.00000 0.0441942
\(513\) −0.101812 + 0.0854306i −0.00449512 + 0.00377185i
\(514\) 5.11976 + 1.86344i 0.225823 + 0.0821928i
\(515\) 1.34959 + 7.65393i 0.0594702 + 0.337273i
\(516\) 1.97108 11.1786i 0.0867721 0.492109i
\(517\) −15.2218 −0.669452
\(518\) 22.9807 18.6821i 1.00971 0.820843i
\(519\) −3.89187 −0.170834
\(520\) −0.961682 + 5.45397i −0.0421725 + 0.239172i
\(521\) −6.79269 38.5233i −0.297593 1.68773i −0.656472 0.754350i \(-0.727952\pi\)
0.358879 0.933384i \(-0.383159\pi\)
\(522\) 1.72815 + 0.628995i 0.0756390 + 0.0275303i
\(523\) 4.35428 3.65367i 0.190399 0.159764i −0.542605 0.839988i \(-0.682562\pi\)
0.733004 + 0.680224i \(0.238117\pi\)
\(524\) 12.5724 0.549228
\(525\) −9.15381 + 7.68095i −0.399505 + 0.335224i
\(526\) −13.8654 + 24.0156i −0.604561 + 1.04713i
\(527\) 2.82849 1.02949i 0.123211 0.0448451i
\(528\) −2.10083 3.63874i −0.0914268 0.158356i
\(529\) 2.38124 4.12443i 0.103532 0.179323i
\(530\) −1.71982 + 9.75358i −0.0747041 + 0.423668i
\(531\) 10.1361 + 3.68924i 0.439869 + 0.160099i
\(532\) −5.66670 9.81501i −0.245683 0.425535i
\(533\) 39.8097 + 33.4043i 1.72435 + 1.44690i
\(534\) −6.10881 5.12590i −0.264354 0.221819i
\(535\) 9.97392 3.63021i 0.431210 0.156948i
\(536\) 2.16235 + 12.2633i 0.0933993 + 0.529694i
\(537\) 4.18419 + 23.7297i 0.180561 + 1.02401i
\(538\) 17.0901 6.22029i 0.736807 0.268176i
\(539\) 21.9098 + 18.3845i 0.943722 + 0.791877i
\(540\) 0.0437392 + 0.0367016i 0.00188224 + 0.00157938i
\(541\) −3.18621 5.51867i −0.136986 0.237266i 0.789369 0.613920i \(-0.210408\pi\)
−0.926354 + 0.376653i \(0.877075\pi\)
\(542\) −22.1763 8.07150i −0.952552 0.346701i
\(543\) −6.08518 + 34.5108i −0.261140 + 1.48100i
\(544\) −3.20050 + 5.54343i −0.137220 + 0.237672i
\(545\) −0.374351 0.648396i −0.0160355 0.0277742i
\(546\) −62.1863 + 22.6340i −2.66133 + 0.968644i
\(547\) −12.3782 + 21.4396i −0.529252 + 0.916692i 0.470166 + 0.882578i \(0.344194\pi\)
−0.999418 + 0.0341135i \(0.989139\pi\)
\(548\) −0.502612 + 0.421742i −0.0214705 + 0.0180159i
\(549\) −36.7113 −1.56680
\(550\) 1.31147 1.10045i 0.0559213 0.0469235i
\(551\) −1.33056 0.484283i −0.0566836 0.0206311i
\(552\) −1.81999 10.3217i −0.0774639 0.439320i
\(553\) 8.70339 49.3594i 0.370106 2.09898i
\(554\) 25.0143 1.06276
\(555\) 7.66434 12.8109i 0.325333 0.543792i
\(556\) −16.6325 −0.705374
\(557\) 3.79975 21.5495i 0.161001 0.913080i −0.792092 0.610401i \(-0.791008\pi\)
0.953093 0.302678i \(-0.0978808\pi\)
\(558\) −0.246870 1.40007i −0.0104508 0.0592696i
\(559\) 24.0694 + 8.76055i 1.01803 + 0.370532i
\(560\) −3.72980 + 3.12967i −0.157613 + 0.132253i
\(561\) 26.8948 1.13550
\(562\) 14.4106 12.0919i 0.607873 0.510066i
\(563\) −8.97719 + 15.5490i −0.378344 + 0.655310i −0.990821 0.135177i \(-0.956840\pi\)
0.612478 + 0.790488i \(0.290173\pi\)
\(564\) 20.5051 7.46325i 0.863421 0.314259i
\(565\) 1.34154 + 2.32362i 0.0564392 + 0.0977555i
\(566\) 6.42071 11.1210i 0.269882 0.467450i
\(567\) 7.54983 42.8172i 0.317063 1.79815i
\(568\) 8.80227 + 3.20376i 0.369335 + 0.134427i
\(569\) 9.81245 + 16.9957i 0.411359 + 0.712495i 0.995039 0.0994889i \(-0.0317208\pi\)
−0.583679 + 0.811984i \(0.698387\pi\)
\(570\) −4.37621 3.67208i −0.183299 0.153806i
\(571\) −20.5006 17.2020i −0.857923 0.719883i 0.103596 0.994619i \(-0.466965\pi\)
−0.961520 + 0.274736i \(0.911409\pi\)
\(572\) 8.90947 3.24278i 0.372523 0.135587i
\(573\) −1.67336 9.49010i −0.0699057 0.396455i
\(574\) 7.93369 + 44.9942i 0.331146 + 1.87802i
\(575\) 4.01300 1.46061i 0.167353 0.0609117i
\(576\) 2.31596 + 1.94332i 0.0964981 + 0.0809716i
\(577\) 16.3428 + 13.7132i 0.680360 + 0.570890i 0.916111 0.400924i \(-0.131311\pi\)
−0.235752 + 0.971813i \(0.575755\pi\)
\(578\) −11.9864 20.7610i −0.498568 0.863545i
\(579\) −6.40547 2.33140i −0.266202 0.0968896i
\(580\) −0.105630 + 0.599060i −0.00438607 + 0.0248746i
\(581\) 0.304354 0.527156i 0.0126267 0.0218701i
\(582\) 5.98288 + 10.3627i 0.247998 + 0.429546i
\(583\) 15.9332 5.79921i 0.659885 0.240179i
\(584\) −4.21427 + 7.29933i −0.174388 + 0.302048i
\(585\) −12.8260 + 10.7623i −0.530290 + 0.444966i
\(586\) 23.3822 0.965909
\(587\) −3.22288 + 2.70432i −0.133023 + 0.111619i −0.706872 0.707342i \(-0.749894\pi\)
0.573849 + 0.818961i \(0.305450\pi\)
\(588\) −38.5285 14.0232i −1.58889 0.578308i
\(589\) 0.190073 + 1.07796i 0.00783181 + 0.0444164i
\(590\) −0.619554 + 3.51366i −0.0255066 + 0.144655i
\(591\) −34.9559 −1.43789
\(592\) 3.12291 5.21991i 0.128351 0.214537i
\(593\) −15.4461 −0.634296 −0.317148 0.948376i \(-0.602725\pi\)
−0.317148 + 0.948376i \(0.602725\pi\)
\(594\) 0.0169743 0.0962661i 0.000696464 0.00394984i
\(595\) −5.41190 30.6924i −0.221866 1.25827i
\(596\) 5.60354 + 2.03952i 0.229530 + 0.0835421i
\(597\) 27.5596 23.1252i 1.12794 0.946452i
\(598\) 23.6507 0.967149
\(599\) 23.0311 19.3254i 0.941025 0.789614i −0.0367383 0.999325i \(-0.511697\pi\)
0.977763 + 0.209711i \(0.0672524\pi\)
\(600\) −1.22712 + 2.12543i −0.0500968 + 0.0867703i
\(601\) 38.2009 13.9040i 1.55825 0.567156i 0.587914 0.808923i \(-0.299949\pi\)
0.970334 + 0.241767i \(0.0777270\pi\)
\(602\) 11.2595 + 19.5021i 0.458904 + 0.794846i
\(603\) −18.8236 + 32.6034i −0.766555 + 1.32771i
\(604\) 2.95063 16.7338i 0.120059 0.680891i
\(605\) 7.58242 + 2.75978i 0.308269 + 0.112201i
\(606\) −19.5932 33.9365i −0.795921 1.37858i
\(607\) 25.2342 + 21.1740i 1.02423 + 0.859427i 0.990153 0.139992i \(-0.0447078\pi\)
0.0340727 + 0.999419i \(0.489152\pi\)
\(608\) −1.78313 1.49622i −0.0723154 0.0606798i
\(609\) −6.83050 + 2.48610i −0.276786 + 0.100742i
\(610\) −2.10860 11.9585i −0.0853747 0.484184i
\(611\) 8.55050 + 48.4923i 0.345916 + 1.96179i
\(612\) −18.1849 + 6.61874i −0.735079 + 0.267547i
\(613\) 28.2025 + 23.6647i 1.13909 + 0.955810i 0.999409 0.0343868i \(-0.0109478\pi\)
0.139681 + 0.990197i \(0.455392\pi\)
\(614\) −6.56974 5.51267i −0.265133 0.222473i
\(615\) 11.5149 + 19.9443i 0.464325 + 0.804234i
\(616\) 7.83289 + 2.85094i 0.315596 + 0.114868i
\(617\) −1.57811 + 8.94989i −0.0635322 + 0.360309i 0.936423 + 0.350872i \(0.114115\pi\)
−0.999955 + 0.00943657i \(0.996996\pi\)
\(618\) −9.53716 + 16.5188i −0.383641 + 0.664485i
\(619\) 13.4547 + 23.3042i 0.540788 + 0.936673i 0.998859 + 0.0477571i \(0.0152073\pi\)
−0.458071 + 0.888916i \(0.651459\pi\)
\(620\) 0.441883 0.160832i 0.0177464 0.00645918i
\(621\) 0.121919 0.211169i 0.00489243 0.00847393i
\(622\) 2.24764 1.88600i 0.0901222 0.0756215i
\(623\) 15.8204 0.633833
\(624\) −10.4119 + 8.73665i −0.416811 + 0.349746i
\(625\) −0.939693 0.342020i −0.0375877 0.0136808i
\(626\) 5.00751 + 28.3990i 0.200140 + 1.13505i
\(627\) −1.69832 + 9.63165i −0.0678243 + 0.384651i
\(628\) −5.38300 −0.214805
\(629\) 18.9413 + 34.0179i 0.755240 + 1.35638i
\(630\) −14.7200 −0.586459
\(631\) −6.99360 + 39.6627i −0.278411 + 1.57895i 0.449503 + 0.893279i \(0.351601\pi\)
−0.727914 + 0.685668i \(0.759510\pi\)
\(632\) −1.78754 10.1377i −0.0711047 0.403255i
\(633\) −4.71304 1.71541i −0.187327 0.0681813i
\(634\) −24.1310 + 20.2483i −0.958366 + 0.804165i
\(635\) −10.4726 −0.415591
\(636\) −18.6201 + 15.6241i −0.738336 + 0.619537i
\(637\) 46.2606 80.1257i 1.83291 3.17469i
\(638\) 0.978609 0.356185i 0.0387435 0.0141015i
\(639\) 14.1597 + 24.5254i 0.560150 + 0.970209i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −4.90047 + 27.7920i −0.193557 + 1.09772i 0.720902 + 0.693037i \(0.243728\pi\)
−0.914459 + 0.404679i \(0.867383\pi\)
\(642\) 24.4783 + 8.90938i 0.966083 + 0.351625i
\(643\) −5.88466 10.1925i −0.232068 0.401954i 0.726348 0.687327i \(-0.241216\pi\)
−0.958417 + 0.285373i \(0.907883\pi\)
\(644\) 15.9283 + 13.3654i 0.627662 + 0.526671i
\(645\) 8.69538 + 7.29629i 0.342380 + 0.287291i
\(646\) 14.0011 5.09598i 0.550866 0.200499i
\(647\) 5.83163 + 33.0728i 0.229265 + 1.30023i 0.854361 + 0.519680i \(0.173949\pi\)
−0.625096 + 0.780548i \(0.714940\pi\)
\(648\) −1.55062 8.79400i −0.0609141 0.345461i
\(649\) 5.73983 2.08913i 0.225308 0.0820055i
\(650\) −4.24244 3.55983i −0.166402 0.139628i
\(651\) 4.30450 + 3.61191i 0.168707 + 0.141562i
\(652\) −5.50591 9.53652i −0.215628 0.373479i
\(653\) −19.7186 7.17698i −0.771649 0.280857i −0.0739628 0.997261i \(-0.523565\pi\)
−0.697686 + 0.716404i \(0.745787\pi\)
\(654\) 0.319077 1.80958i 0.0124769 0.0707600i
\(655\) −6.28620 + 10.8880i −0.245622 + 0.425430i
\(656\) 4.69184 + 8.12651i 0.183186 + 0.317287i
\(657\) −23.9450 + 8.71526i −0.934183 + 0.340015i
\(658\) −21.6452 + 37.4906i −0.843818 + 1.46154i
\(659\) 4.59653 3.85694i 0.179055 0.150245i −0.548855 0.835918i \(-0.684936\pi\)
0.727910 + 0.685672i \(0.240492\pi\)
\(660\) 4.20166 0.163549
\(661\) 9.50817 7.97830i 0.369825 0.310320i −0.438867 0.898552i \(-0.644620\pi\)
0.808692 + 0.588232i \(0.200176\pi\)
\(662\) −7.67985 2.79524i −0.298486 0.108640i
\(663\) −15.1076 85.6794i −0.586730 3.32751i
\(664\) 0.0217094 0.123120i 0.000842487 0.00477798i
\(665\) 11.3334 0.439490
\(666\) 17.3765 6.02028i 0.673324 0.233281i
\(667\) 2.59778 0.100586
\(668\) 0.377107 2.13868i 0.0145907 0.0827480i
\(669\) −3.79400 21.5169i −0.146685 0.831890i
\(670\) −11.7015 4.25900i −0.452068 0.164539i
\(671\) −15.9251 + 13.3627i −0.614782 + 0.515863i
\(672\) −11.9494 −0.460960
\(673\) −8.45723 + 7.09646i −0.326002 + 0.273548i −0.791069 0.611727i \(-0.790475\pi\)
0.465066 + 0.885276i \(0.346030\pi\)
\(674\) −10.0511 + 17.4089i −0.387152 + 0.670567i
\(675\) −0.0536541 + 0.0195285i −0.00206515 + 0.000751652i
\(676\) −8.83531 15.3032i −0.339820 0.588585i
\(677\) −1.27088 + 2.20123i −0.0488439 + 0.0846001i −0.889414 0.457103i \(-0.848887\pi\)
0.840570 + 0.541703i \(0.182220\pi\)
\(678\) −1.14346 + 6.48488i −0.0439143 + 0.249050i
\(679\) −22.3070 8.11910i −0.856066 0.311582i
\(680\) −3.20050 5.54343i −0.122734 0.212581i
\(681\) 3.31661 + 2.78297i 0.127093 + 0.106644i
\(682\) −0.616708 0.517480i −0.0236150 0.0198153i
\(683\) −23.6446 + 8.60592i −0.904735 + 0.329296i −0.752148 0.658994i \(-0.770982\pi\)
−0.152586 + 0.988290i \(0.548760\pi\)
\(684\) −1.22201 6.93037i −0.0467247 0.264989i
\(685\) −0.113933 0.646146i −0.00435315 0.0246880i
\(686\) 44.4089 16.1635i 1.69554 0.617127i
\(687\) −40.8890 34.3099i −1.56001 1.30901i
\(688\) 3.54301 + 2.97294i 0.135076 + 0.113342i
\(689\) −27.4248 47.5012i −1.04480 1.80965i
\(690\) 9.84883 + 3.58468i 0.374939 + 0.136466i
\(691\) 3.10384 17.6028i 0.118076 0.669641i −0.867105 0.498125i \(-0.834022\pi\)
0.985181 0.171517i \(-0.0548667\pi\)
\(692\) 0.792889 1.37332i 0.0301411 0.0522060i
\(693\) 12.6003 + 21.8244i 0.478648 + 0.829042i
\(694\) 12.8601 4.68069i 0.488162 0.177677i
\(695\) 8.31624 14.4041i 0.315453 0.546380i
\(696\) −1.14364 + 0.959627i −0.0433495 + 0.0363746i
\(697\) −60.0649 −2.27512
\(698\) 17.6230 14.7874i 0.667039 0.559713i
\(699\) 28.1501 + 10.2458i 1.06473 + 0.387532i
\(700\) −0.845477 4.79494i −0.0319560 0.181232i
\(701\) 1.00127 5.67851i 0.0378176 0.214474i −0.960043 0.279853i \(-0.909714\pi\)
0.997861 + 0.0653784i \(0.0208255\pi\)
\(702\) −0.316212 −0.0119347
\(703\) −13.3787 + 4.63521i −0.504587 + 0.174820i
\(704\) 1.71200 0.0645235
\(705\) −3.78919 + 21.4896i −0.142709 + 0.809344i
\(706\) −5.58919 31.6979i −0.210352 1.19296i
\(707\) 73.0530 + 26.5891i 2.74744 + 0.999987i
\(708\) −6.70778 + 5.62850i −0.252094 + 0.211532i
\(709\) 12.4032 0.465812 0.232906 0.972499i \(-0.425177\pi\)
0.232906 + 0.972499i \(0.425177\pi\)
\(710\) −7.17568 + 6.02111i −0.269298 + 0.225968i
\(711\) 15.5608 26.9522i 0.583577 1.01078i
\(712\) 3.05332 1.11132i 0.114428 0.0416484i
\(713\) −1.00409 1.73914i −0.0376036 0.0651313i
\(714\) 38.2442 66.2409i 1.43125 2.47900i
\(715\) −1.64640 + 9.33721i −0.0615720 + 0.349192i
\(716\) −9.22596 3.35797i −0.344790 0.125493i
\(717\) −9.83754 17.0391i −0.367390 0.636337i
\(718\) −8.09107 6.78921i −0.301956 0.253371i
\(719\) −5.01153 4.20518i −0.186899 0.156827i 0.544538 0.838736i \(-0.316705\pi\)
−0.731436 + 0.681910i \(0.761150\pi\)
\(720\) −2.84094 + 1.03402i −0.105876 + 0.0385356i
\(721\) −6.57105 37.2663i −0.244719 1.38787i
\(722\) −2.35845 13.3754i −0.0877724 0.497782i
\(723\) 32.2688 11.7449i 1.20009 0.436797i
\(724\) −10.9381 9.17814i −0.406511 0.341103i
\(725\) −0.465986 0.391009i −0.0173063 0.0145217i
\(726\) 9.90166 + 17.1502i 0.367485 + 0.636503i
\(727\) −18.1029 6.58892i −0.671399 0.244369i −0.0162491 0.999868i \(-0.505172\pi\)
−0.655150 + 0.755499i \(0.727395\pi\)
\(728\) 4.68234 26.5549i 0.173539 0.984190i
\(729\) 13.7086 23.7439i 0.507725 0.879405i
\(730\) −4.21427 7.29933i −0.155977 0.270160i
\(731\) −27.8197 + 10.1255i −1.02895 + 0.374506i
\(732\) 14.9008 25.8089i 0.550750 0.953926i
\(733\) 21.6995 18.2081i 0.801490 0.672530i −0.147071 0.989126i \(-0.546984\pi\)
0.948560 + 0.316596i \(0.102540\pi\)
\(734\) −27.4648 −1.01374
\(735\) 31.4087 26.3550i 1.15853 0.972119i
\(736\) 4.01300 + 1.46061i 0.147921 + 0.0538388i
\(737\) 3.70195 + 20.9948i 0.136363 + 0.773353i
\(738\) −4.92629 + 27.9384i −0.181339 + 1.02843i
\(739\) 18.4183 0.677528 0.338764 0.940871i \(-0.389991\pi\)
0.338764 + 0.940871i \(0.389991\pi\)
\(740\) 2.95912 + 5.31447i 0.108779 + 0.195364i
\(741\) 31.6378 1.16224
\(742\) 8.37364 47.4893i 0.307406 1.74339i
\(743\) 7.87600 + 44.6670i 0.288942 + 1.63867i 0.690853 + 0.722995i \(0.257235\pi\)
−0.401911 + 0.915679i \(0.631654\pi\)
\(744\) 1.08448 + 0.394720i 0.0397591 + 0.0144711i
\(745\) −4.56805 + 3.83305i −0.167360 + 0.140432i
\(746\) −22.2341 −0.814047
\(747\) 0.289539 0.242952i 0.0105937 0.00888915i
\(748\) −5.47927 + 9.49037i −0.200342 + 0.347002i
\(749\) −48.5621 + 17.6752i −1.77442 + 0.645836i
\(750\) −1.22712 2.12543i −0.0448080 0.0776097i
\(751\) 17.6690 30.6035i 0.644750 1.11674i −0.339610 0.940567i \(-0.610295\pi\)
0.984359 0.176173i \(-0.0563718\pi\)
\(752\) −1.54394 + 8.75612i −0.0563017 + 0.319303i
\(753\) 34.2561 + 12.4682i 1.24836 + 0.454366i
\(754\) −1.68442 2.91750i −0.0613429 0.106249i
\(755\) 13.0166 + 10.9222i 0.473723 + 0.397501i
\(756\) −0.212962 0.178697i −0.00774537 0.00649913i
\(757\) −10.2103 + 3.71626i −0.371101 + 0.135070i −0.520837 0.853656i \(-0.674380\pi\)
0.149736 + 0.988726i \(0.452158\pi\)
\(758\) −0.690040 3.91341i −0.0250634 0.142142i
\(759\) −3.11583 17.6707i −0.113097 0.641407i
\(760\) 2.18733 0.796123i 0.0793428 0.0288784i
\(761\) −19.9205 16.7152i −0.722116 0.605927i 0.205854 0.978583i \(-0.434003\pi\)
−0.927970 + 0.372655i \(0.878447\pi\)
\(762\) −19.6890 16.5210i −0.713256 0.598493i
\(763\) 1.82268 + 3.15698i 0.0659856 + 0.114290i
\(764\) 3.68969 + 1.34294i 0.133488 + 0.0485857i
\(765\) 3.36042 19.0579i 0.121496 0.689040i
\(766\) −16.0397 + 27.7816i −0.579539 + 1.00379i
\(767\) −9.87962 17.1120i −0.356732 0.617878i
\(768\) −2.30623 + 0.839397i −0.0832188 + 0.0302891i
\(769\) −2.54703 + 4.41159i −0.0918483 + 0.159086i −0.908289 0.418344i \(-0.862611\pi\)
0.816441 + 0.577429i \(0.195944\pi\)
\(770\) −6.38543 + 5.35801i −0.230115 + 0.193089i
\(771\) −13.3715 −0.481562
\(772\) 2.12766 1.78532i 0.0765763 0.0642551i
\(773\) −15.5676 5.66613i −0.559927 0.203797i 0.0465248 0.998917i \(-0.485185\pi\)
−0.606452 + 0.795120i \(0.707408\pi\)
\(774\) 2.42809 + 13.7704i 0.0872759 + 0.494966i
\(775\) −0.0816566 + 0.463098i −0.00293319 + 0.0166350i
\(776\) −4.87556 −0.175022
\(777\) −37.3170 + 62.3750i −1.33874 + 2.23769i
\(778\) −18.1671 −0.651321
\(779\) 3.79291 21.5106i 0.135895 0.770698i
\(780\) −2.36019 13.3853i −0.0845085 0.479271i
\(781\) 15.0695 + 5.48485i 0.539230 + 0.196264i
\(782\) −20.9404 + 17.5711i −0.748827 + 0.628340i
\(783\) −0.0347325 −0.00124124
\(784\) 12.7978 10.7386i 0.457063 0.383521i
\(785\) 2.69150 4.66181i 0.0960637 0.166387i
\(786\) −28.9948 + 10.5532i −1.03421 + 0.376422i
\(787\) 13.8263 + 23.9479i 0.492856 + 0.853651i 0.999966 0.00822973i \(-0.00261963\pi\)
−0.507110 + 0.861881i \(0.669286\pi\)
\(788\) 7.12154 12.3349i 0.253694 0.439412i
\(789\) 11.8181 67.0240i 0.420737 2.38612i
\(790\) 9.67325 + 3.52078i 0.344159 + 0.125264i
\(791\) −6.53185 11.3135i −0.232246 0.402262i
\(792\) 3.96492 + 3.32697i 0.140887 + 0.118219i
\(793\) 51.5156 + 43.2267i 1.82937 + 1.53503i
\(794\) −22.0425 + 8.02280i −0.782258 + 0.284719i
\(795\) −4.22084 23.9376i −0.149698 0.848978i
\(796\) 2.54550 + 14.4362i 0.0902227 + 0.511678i
\(797\) −29.9554 + 10.9029i −1.06108 + 0.386200i −0.812833 0.582497i \(-0.802076\pi\)
−0.248244 + 0.968698i \(0.579853\pi\)
\(798\) 21.3074 + 17.8790i 0.754273 + 0.632911i
\(799\) −43.5975 36.5827i −1.54237 1.29420i
\(800\) −0.500000 0.866025i −0.0176777 0.0306186i
\(801\) 9.23100 + 3.35981i 0.326161 + 0.118713i
\(802\) 0.478573 2.71412i 0.0168990 0.0958389i
\(803\) −7.21485 + 12.4965i −0.254606 + 0.440991i
\(804\) −15.2806 26.4669i −0.538907 0.933414i
\(805\) −19.5389 + 7.11158i −0.688656 + 0.250650i
\(806\) −1.30212 + 2.25535i −0.0458654 + 0.0794412i
\(807\) −34.1924 + 28.6908i −1.20363 + 1.00996i
\(808\) 15.9669 0.561713
\(809\) −40.3266 + 33.8381i −1.41781 + 1.18968i −0.465308 + 0.885149i \(0.654056\pi\)
−0.952501 + 0.304534i \(0.901499\pi\)
\(810\) 8.39114 + 3.05412i 0.294835 + 0.107311i
\(811\) −1.03825 5.88823i −0.0364580 0.206764i 0.961137 0.276070i \(-0.0890323\pi\)
−0.997595 + 0.0693069i \(0.977921\pi\)
\(812\) 0.514305 2.91677i 0.0180486 0.102359i
\(813\) 57.9187 2.03130
\(814\) 5.34643 8.93650i 0.187392 0.313224i
\(815\) 11.0118 0.385727
\(816\) 2.72793 15.4709i 0.0954968 0.541589i
\(817\) −1.86947 10.6023i −0.0654043 0.370926i
\(818\) −27.9696 10.1801i −0.977933 0.355939i
\(819\) 62.4487 52.4007i 2.18213 1.83103i
\(820\) −9.38368 −0.327692
\(821\) 11.4912 9.64226i 0.401045 0.336517i −0.419852 0.907593i \(-0.637918\pi\)
0.820898 + 0.571075i \(0.193474\pi\)
\(822\) 0.805128 1.39452i 0.0280821 0.0486396i
\(823\) −5.89318 + 2.14494i −0.205423 + 0.0747680i −0.442683 0.896678i \(-0.645973\pi\)
0.237259 + 0.971446i \(0.423751\pi\)
\(824\) −3.88600 6.73075i −0.135375 0.234477i
\(825\) −2.10083 + 3.63874i −0.0731415 + 0.126685i
\(826\) 3.01655 17.1077i 0.104959 0.595254i
\(827\) 12.3711 + 4.50270i 0.430184 + 0.156574i 0.548032 0.836458i \(-0.315377\pi\)
−0.117848 + 0.993032i \(0.537600\pi\)
\(828\) 6.45549 + 11.1812i 0.224344 + 0.388575i
\(829\) −7.23878 6.07406i −0.251413 0.210961i 0.508367 0.861140i \(-0.330249\pi\)
−0.759781 + 0.650180i \(0.774694\pi\)
\(830\) 0.0957703 + 0.0803608i 0.00332424 + 0.00278937i
\(831\) −57.6887 + 20.9970i −2.00120 + 0.728377i
\(832\) −0.961682 5.45397i −0.0333403 0.189082i
\(833\) 18.5694 + 105.312i 0.643391 + 3.64885i
\(834\) 38.3582 13.9613i 1.32824 0.483439i
\(835\) 1.66360 + 1.39592i 0.0575712 + 0.0483079i
\(836\) −3.05272 2.56154i −0.105581 0.0885926i
\(837\) 0.0134248 + 0.0232525i 0.000464030 + 0.000803723i
\(838\) −20.2709 7.37802i −0.700248 0.254869i
\(839\) 4.25764 24.1463i 0.146990 0.833622i −0.818758 0.574139i \(-0.805337\pi\)
0.965748 0.259483i \(-0.0835520\pi\)
\(840\) 5.97472 10.3485i 0.206147 0.357058i
\(841\) 14.3150 + 24.7943i 0.493620 + 0.854975i
\(842\) 18.7146 6.81155i 0.644947 0.234741i
\(843\) −23.0841 + 39.9828i −0.795059 + 1.37708i
\(844\) 1.56550 1.31361i 0.0538868 0.0452164i
\(845\) 17.6706 0.607888
\(846\) −20.5916 + 17.2784i −0.707954 + 0.594044i
\(847\) −36.9181 13.4371i −1.26852 0.461704i
\(848\) −1.71982 9.75358i −0.0590588 0.334939i
\(849\) −5.47267 + 31.0370i −0.187821 + 1.06519i
\(850\) 6.40100 0.219552
\(851\) 20.1565 16.3861i 0.690955 0.561709i
\(852\) −22.9892 −0.787599
\(853\) 3.79114 21.5006i 0.129806 0.736167i −0.848531 0.529146i \(-0.822512\pi\)
0.978337 0.207020i \(-0.0663767\pi\)
\(854\) 10.2666 + 58.2247i 0.351315 + 1.99241i
\(855\) 6.61288 + 2.40689i 0.226156 + 0.0823139i
\(856\) −8.13081 + 6.82256i −0.277906 + 0.233190i
\(857\) −35.2949 −1.20565 −0.602826 0.797873i \(-0.705959\pi\)
−0.602826 + 0.797873i \(0.705959\pi\)
\(858\) −17.8253 + 14.9572i −0.608544 + 0.510629i
\(859\) −10.7355 + 18.5945i −0.366291 + 0.634435i −0.988983 0.148032i \(-0.952706\pi\)
0.622691 + 0.782468i \(0.286039\pi\)
\(860\) −4.34615 + 1.58187i −0.148202 + 0.0539413i
\(861\) −56.0649 97.1072i −1.91069 3.30941i
\(862\) 3.26992 5.66366i 0.111374 0.192905i
\(863\) −2.32739 + 13.1993i −0.0792251 + 0.449308i 0.919229 + 0.393724i \(0.128813\pi\)
−0.998454 + 0.0555844i \(0.982298\pi\)
\(864\) −0.0536541 0.0195285i −0.00182535 0.000664373i
\(865\) 0.792889 + 1.37332i 0.0269590 + 0.0466944i
\(866\) −18.3224 15.3744i −0.622622 0.522442i
\(867\) 45.0701 + 37.8183i 1.53066 + 1.28438i
\(868\) −2.15149 + 0.783077i −0.0730262 + 0.0265794i
\(869\) −3.06028 17.3557i −0.103813 0.588753i
\(870\) −0.259242 1.47023i −0.00878912 0.0498456i
\(871\) 64.8041 23.5868i 2.19580 0.799208i
\(872\) 0.573540 + 0.481257i 0.0194225 + 0.0162974i
\(873\) −11.2916 9.47476i −0.382162 0.320672i
\(874\) −4.97029 8.60879i −0.168122 0.291197i
\(875\) 4.57528 + 1.66527i 0.154673 + 0.0562962i
\(876\) 3.59202 20.3714i 0.121363 0.688284i
\(877\) −20.3474 + 35.2427i −0.687083 + 1.19006i 0.285695 + 0.958321i \(0.407776\pi\)
−0.972777 + 0.231741i \(0.925558\pi\)
\(878\) 2.69757 + 4.67233i 0.0910386 + 0.157684i
\(879\) −53.9246 + 19.6269i −1.81883 + 0.662000i
\(880\) −0.856002 + 1.48264i −0.0288558 + 0.0499797i
\(881\) −11.0491 + 9.27128i −0.372253 + 0.312357i −0.809652 0.586910i \(-0.800344\pi\)
0.437399 + 0.899268i \(0.355900\pi\)
\(882\) 50.5075 1.70068
\(883\) 33.2491 27.8993i 1.11892 0.938888i 0.120373 0.992729i \(-0.461591\pi\)
0.998550 + 0.0538410i \(0.0171464\pi\)
\(884\) 33.3115 + 12.1244i 1.12039 + 0.407788i
\(885\) −1.52053 8.62336i −0.0511121 0.289871i
\(886\) −5.99399 + 33.9936i −0.201372 + 1.14204i
\(887\) 20.2646 0.680419 0.340210 0.940350i \(-0.389502\pi\)
0.340210 + 0.940350i \(0.389502\pi\)
\(888\) −2.82055 + 14.6596i −0.0946514 + 0.491946i
\(889\) 50.9900 1.71015
\(890\) −0.564231 + 3.19991i −0.0189131 + 0.107261i
\(891\) −2.65467 15.0554i −0.0889347 0.504374i
\(892\) 8.36560 + 3.04483i 0.280101 + 0.101948i
\(893\) 15.8541 13.3032i 0.530539 0.445175i
\(894\) −14.6350 −0.489468
\(895\) 7.52107 6.31093i 0.251402 0.210951i
\(896\) 2.43445 4.21660i 0.0813294 0.140867i
\(897\) −54.5439 + 19.8523i −1.82117 + 0.662851i
\(898\) −10.6561 18.4570i −0.355600 0.615918i
\(899\) −0.143024 + 0.247726i −0.00477013 + 0.00826211i
\(900\) 0.524984 2.97733i 0.0174995 0.0992445i
\(901\) 59.5725 + 21.6826i 1.98465 + 0.722353i
\(902\) 8.03245 + 13.9126i 0.267451 + 0.463239i
\(903\) −42.3370 35.5250i −1.40889 1.18220i
\(904\) −2.05536 1.72466i −0.0683604 0.0573612i
\(905\) 13.4175 4.88359i 0.446014 0.162336i
\(906\) 7.24153 + 41.0688i 0.240584 + 1.36442i
\(907\) −7.17503 40.6916i −0.238243 1.35114i −0.835675 0.549224i \(-0.814923\pi\)
0.597432 0.801920i \(-0.296188\pi\)
\(908\) −1.65772 + 0.603360i −0.0550133 + 0.0200232i
\(909\) 36.9786 + 31.0287i 1.22650 + 1.02916i
\(910\) 20.6560 + 17.3325i 0.684741 + 0.574566i
\(911\) −22.0893 38.2598i −0.731850 1.26760i −0.956091 0.293068i \(-0.905324\pi\)
0.224241 0.974534i \(-0.428010\pi\)
\(912\) 5.36822 + 1.95387i 0.177760 + 0.0646992i
\(913\) 0.0371665 0.210782i 0.00123003 0.00697586i
\(914\) 14.2965 24.7622i 0.472885 0.819060i
\(915\) 14.9008 + 25.8089i 0.492605 + 0.853218i
\(916\) 20.4372 7.43855i 0.675266 0.245777i
\(917\) 30.6069 53.0128i 1.01073 1.75064i
\(918\) 0.279975 0.234927i 0.00924054 0.00775374i
\(919\) −20.9657 −0.691595 −0.345798 0.938309i \(-0.612392\pi\)
−0.345798 + 0.938309i \(0.612392\pi\)
\(920\) −3.27142 + 2.74505i −0.107856 + 0.0905016i
\(921\) 19.7786 + 7.19883i 0.651728 + 0.237210i
\(922\) −4.58767 26.0180i −0.151087 0.856856i
\(923\) 9.00825 51.0883i 0.296510 1.68159i
\(924\) −20.4575 −0.673002
\(925\) −6.08203 0.0945612i −0.199976 0.00310915i
\(926\) −22.7283 −0.746897
\(927\) 4.08018 23.1399i 0.134011 0.760013i
\(928\) −0.105630 0.599060i −0.00346749 0.0196651i
\(929\) 19.3995 + 7.06084i 0.636476 + 0.231658i 0.640048 0.768335i \(-0.278915\pi\)
−0.00357128 + 0.999994i \(0.501137\pi\)
\(930\) −0.884079 + 0.741831i −0.0289901 + 0.0243256i
\(931\) −38.8874 −1.27448
\(932\) −9.35044 + 7.84595i −0.306284 + 0.257003i
\(933\) −3.60047 + 6.23619i −0.117874 + 0.204164i
\(934\) −30.2681 + 11.0167i −0.990402 + 0.360477i
\(935\) −5.47927 9.49037i −0.179191 0.310368i
\(936\) 8.37158 14.5000i 0.273634 0.473947i
\(937\) 6.41831 36.4000i 0.209677 1.18914i −0.680231 0.732998i \(-0.738121\pi\)
0.889908 0.456140i \(-0.150768\pi\)
\(938\) 56.9735 + 20.7367i 1.86025 + 0.677076i
\(939\) −35.3865 61.2912i −1.15479 2.00016i
\(940\) −6.81105 5.71515i −0.222152 0.186408i
\(941\) 12.4649 + 10.4593i 0.406343 + 0.340963i 0.822939 0.568129i \(-0.192333\pi\)
−0.416596 + 0.909092i \(0.636777\pi\)
\(942\) 12.4144 4.51847i 0.404483 0.147220i
\(943\) 6.95867 + 39.4646i 0.226606 + 1.28514i
\(944\) −0.619554 3.51366i −0.0201648 0.114360i
\(945\) 0.261237 0.0950825i 0.00849804 0.00309303i
\(946\) 6.06565 + 5.08968i 0.197211 + 0.165480i
\(947\) 14.4222 + 12.1017i 0.468658 + 0.393251i 0.846305 0.532699i \(-0.178822\pi\)
−0.377647 + 0.925950i \(0.623267\pi\)
\(948\) 12.6320 + 21.8793i 0.410269 + 0.710607i
\(949\) 43.8631 + 15.9649i 1.42386 + 0.518242i
\(950\) −0.404202 + 2.29235i −0.0131141 + 0.0743735i
\(951\) 38.6552 66.9528i 1.25348 2.17109i
\(952\) 15.5829 + 26.9904i 0.505046 + 0.874765i
\(953\) −8.99836 + 3.27513i −0.291485 + 0.106092i −0.483624 0.875276i \(-0.660680\pi\)
0.192139 + 0.981368i \(0.438458\pi\)
\(954\) 14.9713 25.9310i 0.484713 0.839547i
\(955\) −3.00786 + 2.52389i −0.0973320 + 0.0816713i
\(956\) 8.01679 0.259281
\(957\) −1.95791 + 1.64288i −0.0632904 + 0.0531069i
\(958\) −17.4197 6.34026i −0.562806 0.204845i
\(959\) 0.554729 + 3.14602i 0.0179131 + 0.101590i
\(960\) 0.426173 2.41695i 0.0137547 0.0780067i
\(961\) −30.7789 −0.992867
\(962\) −31.4725 12.0123i −1.01471 0.387293i
\(963\) −32.0890 −1.03405
\(964\) −2.42969 + 13.7795i −0.0782551 + 0.443807i
\(965\) 0.482302 + 2.73527i 0.0155259 + 0.0880515i
\(966\) −47.9531 17.4535i −1.54286 0.561557i
\(967\) −17.2102 + 14.4410i −0.553442 + 0.464393i −0.876104 0.482121i \(-0.839866\pi\)
0.322663 + 0.946514i \(0.395422\pi\)
\(968\) −8.06905 −0.259349
\(969\) −28.0121 + 23.5050i −0.899880 + 0.755089i
\(970\) 2.43778 4.22236i 0.0782724 0.135572i
\(971\) −0.857329 + 0.312042i −0.0275130 + 0.0100139i −0.355740 0.934585i \(-0.615771\pi\)
0.328227 + 0.944599i \(0.393549\pi\)
\(972\) 11.0434 + 19.1277i 0.354217 + 0.613522i
\(973\) −40.4910 + 70.1325i −1.29808 + 2.24834i
\(974\) −0.452600 + 2.56682i −0.0145022 + 0.0822462i
\(975\) 12.7721 + 4.64867i 0.409035 + 0.148877i
\(976\) 6.07147 + 10.5161i 0.194343 + 0.336612i
\(977\) 30.1202 + 25.2739i 0.963631 + 0.808583i 0.981540 0.191257i \(-0.0612563\pi\)
−0.0179086 + 0.999840i \(0.505701\pi\)
\(978\) 20.7028 + 17.3717i 0.662003 + 0.555486i
\(979\) 5.22730 1.90258i 0.167065 0.0608067i
\(980\) 2.90102 + 16.4525i 0.0926695 + 0.525555i
\(981\) 0.393057 + 2.22914i 0.0125494 + 0.0711709i
\(982\) −2.66288 + 0.969210i −0.0849760 + 0.0309287i
\(983\) 3.45932 + 2.90271i 0.110335 + 0.0925822i 0.696286 0.717764i \(-0.254834\pi\)
−0.585951 + 0.810346i \(0.699279\pi\)
\(984\) −17.6418 14.8032i −0.562400 0.471910i
\(985\) 7.12154 + 12.3349i 0.226911 + 0.393022i
\(986\) 3.65892 + 1.33174i 0.116524 + 0.0424111i
\(987\) 18.4492 104.631i 0.587245 3.33043i
\(988\) −6.44555 + 11.1640i −0.205060 + 0.355175i
\(989\) 9.87578 + 17.1054i 0.314032 + 0.543919i
\(990\) −4.86370 + 1.77024i −0.154578 + 0.0562620i
\(991\) −2.73942 + 4.74481i −0.0870204 + 0.150724i −0.906250 0.422741i \(-0.861068\pi\)
0.819230 + 0.573465i \(0.194401\pi\)
\(992\) −0.360226 + 0.302266i −0.0114372 + 0.00959694i
\(993\) 20.0578 0.636514
\(994\) 34.9377 29.3162i 1.10816 0.929854i
\(995\) −13.7749 5.01365i −0.436693 0.158943i
\(996\) 0.0532799 + 0.302165i 0.00168824 + 0.00957447i
\(997\) 3.25566 18.4638i 0.103108 0.584754i −0.888851 0.458196i \(-0.848496\pi\)
0.991959 0.126558i \(-0.0403930\pi\)
\(998\) −12.3234 −0.390090
\(999\) −0.269494 + 0.219084i −0.00852641 + 0.00693151i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 370.2.o.a.181.3 18
37.9 even 9 inner 370.2.o.a.231.3 yes 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
370.2.o.a.181.3 18 1.1 even 1 trivial
370.2.o.a.231.3 yes 18 37.9 even 9 inner